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Algebra

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Algebra 2 lesson 1

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Unit One, Lesson One Written Assignment Please answer these questions and send them to your instructor via the Assignments button: 1. Which property is illustrated: 2 * 1 = 2 Multiplicative Identity 2. Which property is illustrated: 7 ? 7 = 0 Additive Inverse 3. Which property is illustrated: 5 + 3 = 3 + Commutative Property of Addition 4. Solve the following for x: 3 ? (x +- 4) = 2x ? 6 + 5x x= 13/8 5. Solve the following for x: x= 80/3 6. Solve for x: 2(x ? 4) = 5x + 7 ? 3x NO SOLUTION 7. Solve for r : I = P( 1 + rt) I-P1/P^2T = r 8. Solve for t: A = P + Prt A-P/Pr = t _1092548562.unknown

Steps for Factoring Polynomials

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1. Pull out greatest common factor or GCF [This is a very important step that is often skipped] Ex: or 2. Look at number of terms a. 2 Terms: If there are two terms (binomial), then check to see if it is i. A difference of squares: Ex: ii. A difference of cubes Ex: iii. A sum of cubes Ex: If there are two terms and the expression is none of the above, it is prime! b. 3 Terms: If there are three terms (trinomial), then factor into two binomials thinking of the FOIL method in reverse. Find factors of c that add up to b. Start by identifying the factors of c. The sign before c determines whether signs are the same or different in the 2 binomials that are produced, .

Inverses of Trigonometric Ratios

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Inverses of Trigonometric Ratios You've learned how to use trig ratios to solve right triangles, finding the lengths of the sides of triangles. But what if you have the sides, and need to find the angles? You know that you can take side lengths and find trig ratios, and you know you can find trig ratios (in your calculator) for angles. What is missing is a way to go from the ratios back to the original angles. And that is what "inverse trig" values are all about. If you look at your calculator, you should see, right above the "SIN", "COS", "TAN" buttons, notations along the lines of "SIN–1", "COS–1", and "TAN–1", or possibly "ASIN", "ACOS", and "ATAN". These are what you'll use to find angles from ratios.

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